Properties of Solutions to Fractional Laplace Equation with Singular Term

Properties of Solutions to Fractional Laplace Equation with Singular Term

Year:    2023

Author:    Xinjing Wang

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 2 : pp. 191–202

Abstract

The aim of the paper is to study the properties of positive classical solutions to the fractional Laplace equation with the singular term. Using the extension method, we prove the nonexistence and symmetric of solutions to the singular fractional equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v36.n2.4

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 2 : pp. 191–202

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Fractional Laplace equation extension method method of moving planes symmetry.

Author Details

Xinjing Wang